Finding the Third Proportional to 82,209 and 123,324

Step by Step Solution

1. Step 1: Write the proportion equation
   82,209 : 123,324 = 123,324 : x
2. Step 2: Convert to fraction form
   82,209/123,324 = 123,324/x
3. Step 3: Cross multiply
   82,209x = 123,324 × 123,324
4. Step 4: Simplify right side
   82,209x = 15,208,808,976
5. Step 5: Solve for x
   x = 15,208,808,976/82,209
6. Step 6: Final answer
   x = 185,001.75